Abstract
A simultaneous breaking of space and time-reversal symmetry leads to a coexistence of crystallographic ${\ensuremath{\chi}}_{\mathrm{ijk}}^{(2)}(2\ensuremath{\omega})$ and magnetization-induced ${\ensuremath{\chi}}_{\mathrm{ijkl}}^{(3)}(2\ensuremath{\omega})$ electric-dipole type contributions to the nonlinear optical susceptibility in the same medium. As a consequence, a new transversal nonlinear magneto-optical effect arises that is linear in M. This effect is experimentally demonstrated in thin films of magnetic garnets, as well as large effects quadratic in M. We suggest a novel method to distinguish the two susceptibility contributions based on their different transformation properties.
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